Robust Stability Analysis for Linear Systems with Both State and Input Delays via Nested Predictor

This paper is concerned with the robust stability analysis for linear systems with both state and input delays. Based on the recently proposed nested predictor feedback approach, it is shown that the perturbed closed-loop system remains asymptotically stable for the obtained matrix parameters bounds. Moreover, the uncertainty bound obtained in present paper has less conservativeness compares with the existing results. We finally use a numerical example to show the effectiveness of the proposed method.